document.write( "Question 1108375: Monique plans to join a gym so that she can use weights and participate in fitness classes. gym A costs $300/yr plus $4 for each fitness class. gym B costs $360/yr plus $2 for each class. For how many fitness classes will the cost for the two gyms be the same? \n" ); document.write( "

Algebra.Com's Answer #723410 by josmiceli(19441) $\"\"$ $\"About$

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Compare the costs, $\"+C+\"$
\n" ); document.write( "Let $\"+n+\"$ = number of fitness classes
\n" ); document.write( " $\"+C%5B1%5D+=+4n+%2B+300+\"$
\n" ); document.write( " $\"+C%5B2%5D+=+2n+%2B+360+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Set $\"+C%5B1%5D+=+C%5B2%5D+\"$
\n" ); document.write( " $\"+4n+%2B+300+=+2n+%2B+360+\"$
\n" ); document.write( " $\"+2n+=+60+\"$
\n" ); document.write( " $\"+n+=+30+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "After 30 classes, the costs are the same
\n" ); document.write( "check:
\n" ); document.write( " $\"+4%2A30+%2B+300+=+2%2A30+%2B+360+\"$
\n" ); document.write( " $\"+420+=+420+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );